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Finding the Fourth Proportional to 10,893.60, 15,033.12 and 6,178.56

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Solution

The fourth proportional to 10,893.60, 15,033.12 and 6,178.56 is: 8,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.60 : 15,033.12 = 6,178.56 : x
  2. Step 2: Convert to fraction form
    10,893.60/15,033.12 = 6,178.56/x
  3. Step 3: Cross multiply
    10,893.60x = 15,033.12 × 6,178.56
  4. Step 4: Simplify right side
    10,893.60x = 92,883,033.91
  5. Step 5: Solve for x
    x = 92,883,033.91/10,893.60
  6. Step 6: Final answer
    x = 8,526.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.